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Finding the Fourth Proportional to 1,153.93, 1,729.67 and 538.06

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Solution

The fourth proportional to 1,153.93, 1,729.67 and 538.06 is: 806.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.93 : 1,729.67 = 538.06 : x
  2. Step 2: Convert to fraction form
    1,153.93/1,729.67 = 538.06/x
  3. Step 3: Cross multiply
    1,153.93x = 1,729.67 × 538.06
  4. Step 4: Simplify right side
    1,153.93x = 930,666.24
  5. Step 5: Solve for x
    x = 930,666.24/1,153.93
  6. Step 6: Final answer
    x = 806.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.